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Finding the Fourth Proportional to 14,115.45, 19,479.31 and 7,827.82

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Solution

The fourth proportional to 14,115.45, 19,479.31 and 7,827.82 is: 10,802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115.45 : 19,479.31 = 7,827.82 : x
  2. Step 2: Convert to fraction form
    14,115.45/19,479.31 = 7,827.82/x
  3. Step 3: Cross multiply
    14,115.45x = 19,479.31 × 7,827.82
  4. Step 4: Simplify right side
    14,115.45x = 152,480,617.74
  5. Step 5: Solve for x
    x = 152,480,617.74/14,115.45
  6. Step 6: Final answer
    x = 10,802.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.